Search a number
-
+
145615380 = 223529531579
BaseRepresentation
bin10001010110111…
…10101000010100
3101011000000202020
420223132220110
5244234143010
622241013140
73415465431
oct1053365024
9334000666
10145615380
1175217a99
12409241b0
1324225261
14154a6b88
15cbb5470
hex8adea14

145615380 has 96 divisors (see below), whose sum is σ = 430012800. Its totient is φ = 36761088.

The previous prime is 145615367. The next prime is 145615381. The reversal of 145615380 is 83516541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145615381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91431 + ... + 93009.

It is an arithmetic number, because the mean of its divisors is an integer number (4479300).

Almost surely, 2145615380 is an apocalyptic number.

145615380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145615380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215006400).

145615380 is an abundant number, since it is smaller than the sum of its proper divisors (284397420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145615380 is a wasteful number, since it uses less digits than its factorization.

145615380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 145615380 is about 12067.1197889140. The cubic root of 145615380 is about 526.1009458946.

It can be divided in two parts, 1456 and 15380, that added together give a triangular number (16836 = T183).

The spelling of 145615380 in words is "one hundred forty-five million, six hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 53 58 60 87 106 116 145 159 174 212 265 290 318 348 435 530 580 636 795 870 1060 1537 1579 1590 1740 3074 3158 3180 4611 4737 6148 6316 7685 7895 9222 9474 15370 15790 18444 18948 23055 23685 30740 31580 45791 46110 47370 83687 91582 92220 94740 137373 167374 183164 228955 251061 274746 334748 418435 457910 502122 549492 686865 836870 915820 1004244 1255305 1373730 1673740 2426923 2510610 2747460 4853846 5021220 7280769 9707692 12134615 14561538 24269230 29123076 36403845 48538460 72807690 145615380